Find [g *h](x) and [h*g](x) . g(x) = 5x h(x) = –10x3 + 13x2 – 3x + 3
[g *h](x)= –50x3 + 65x2 – 15x + 15
[h*g](x) = –1250x3 + 325x2 – 15x + 15
[g *h](x) = –50x4 + 65x3 – 15x2 + 15x
[g *h](x) = –1250x4 + 325x3 – 15x2 + 3x
[g *h](x) = –50x3 + 65x2 – 15x + 15
[h*g](x) = –1250x3 + 325x2 – 15x + 3
[g *h](x) = 50x3 + 65x2 – 15x + 15
[h*g](x) = –1250x3 + 325x2 – 15x + 3

(g ο h)(x) = -50x³ + 65x² - 15x + 15

(h ο g)(x) = -1250x³ + 325x² - 15x + 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain the composite function

- A composite function is a function that depends on another function

- A composite function is created when one function is substituted into

another function  

- Example:

# (f ο g)(x) is the composite function that is formed when g(x) is  

 substituted for x in f(x).

* Now lets solve the problem

∵ g(x) = 5x

∵ h(x) = -10x³ + 13x² - 3x + 3

- To find (g ο h)(x) replace x in g by h(x)

∴ Replace x by -10x³ + 13x² - 3x + 3

∴ (g ο h)(x) = 5(-10x³ + 13x² - 3x + 3)

∴ (g ο h)(x) = -50x³ + 65x² - 15x + 15

- To find (h ο g)(x) replace each x in -10x³ + 13x² - 3x + 3  by g(x)

∴ Replace each x in -10x³ + 13x² - 3x + 3 by 5x

∴ (h ο g)(x) = -10(5x)³ + 13(5x)² - 3(5x) + 3)

∴ (h ο g)(x) = -10(125x³) + 13(25x²) - 15x + 3

∴ (h ο g)(x) = -1250x³ + 325x² - 15x + 3

* (g ο h)(x) = -50x³ + 65x² - 15x + 15

 (h ο g)(x) = -1250x³ + 325x² - 15x + 3

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05